Shapes and diffeomorphisms

DOI10.1007/978-3-662-58496-5zbMath1423.53002OpenAlexW586270867MaRDI QIDQ5916078

Laurent Younes

Publication date: 10 January 2019

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-58496-5

zbMATH Keywords

shapesurfacediffeomorphismparametrizationordinary differential equationsGauss-Bonnet theoremcurveLaplace-Beltrami operatorreproducing kernelhomeomorphismmedial axisskeletonmetamorphosisMercer's theoremdeformable templateVoronoï diagramdiffeomorphic matchingkernel Hilbert spacesmatching functionals

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Dynamics induced by flows and semiflows (37C10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Curves in Euclidean and related spaces (53A04) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Optimality conditions for problems involving ordinary differential equations (49K15) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

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